365968 has 20 divisors (see below), whose sum is σ = 719820. Its totient is φ = 180224.

The previous prime is 365941. The next prime is 365969. The reversal of 365968 is 869563.

It can be written as a sum of positive squares in 2 ways, for example, as 242064 + 123904 = 492^2 + 352^2 .

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (365969) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1296 + ... + 1552.

It is an arithmetic number, because the mean of its divisors is an integer number (35991).

2³⁶⁵⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

365968 is a deficient number, since it is larger than the sum of its proper divisors (353852).

365968 is a wasteful number, since it uses less digits than its factorization.

365968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 348 counting only the distinct ones).

The product of its digits is 38880, while the sum is 37.

The square root of 365968 is about 604.9528907279. The cubic root of 365968 is about 71.5288162004.

The spelling of 365968 in words is "three hundred sixty-five thousand, nine hundred sixty-eight".